Digital Camera
An SLR
camera is best, but a high-resolution
point-and-shoot can work, too.
Tripod
A tripod is
essential, because the slightest shake (and I mean slight),
can blur your photos
Lamps
You need at least two to three incandescent lamps,
preferably with bendy necks for flexible positioning.
Background Paper
I use a nice sheet of dark gray paper I
picked up at a craft store. Neutral colors are best,
like gray, black, white, or brown. You can print out a
fancy background, (Google
image search for "photo backdrop") but be careful not to
distract from your mini.
Sheet of WHITE paper
This
is important. It will provide your photo editing
software with a baseline for white balance corrections.
Curve your backdrop paper so it seamless, both underneath
and behind your mini. Shine all of your lamps on your
figure, as close to the mini as possible, and attach your
camera to the tripod, also very close to the mini.
Bendy-necked lamps will help you get very tight lighting.
You can see my own setup in the photo below, where I
duct-taped a clothes pin to the neck of the back lamp, and
used that to hold my backdrop paper.

Turn off your flash, and set your camera to Macro mode.
Zoom in as far as possible on the mini while still capturing
the entire mini in the frame. Depress the shutter trigger
halfway to auto-focus. If you can't focus that close, unzoom a bit
or move the camera back until you can.
Set your camera to Manual mode, set the white balance to
incandescent, and the ISO as low as it can go.
Zoom in as far as possible on the mini while still capturing
the entire mini in the frame. Depress the shutter trigger
halfway to auto-focus. If you can't focus that close, unzoom a bit
or move the camera back until you can. Set your F-stop very high (19
at least). Set the shutter speed for 0.0 exposure.
If your camera has a 2-second timer, or something similar,
turn it on. When you press the shutter release button
to take the picture, you are shaking the camera a tiny bit.
The timer will allow that shake to stop before the photo
gets taken. Now, just before you snap the photo,
hold that white paper and insert it in to the very edge of
the frame. You will crop this out later, but it will
help your photo editing software to properly calculate white
balance corrections.
You may have to read your software manual or search
online for how to do some of these things, but the functions
themselves should be available in any good photo editing
software, like Photoshop, or Gimp.
Select a function called something like "Remove Color
Cast" (Photoshop) to correct the white balance of the photo.
Auto White Balance may work, but it's not as reliable.
The function should ask you to select a portion of the photo
that is white, gray, or black as a reference. This is
where that white paper we used in all our photos comes in
very handy. Just click that spot in your photo, and
voila!
After you fix the colors, crop your image however you
like.
There are a few other lighting fixes you can do: adjust
levels, brightness/contrast, etc. One trick I use to
lighten photos in Photoshop is to duplicate the layer, set
the duplicate layer style to screen, and turn down its
opacity until the lighting looks right, then merge the
duplicate with the original.